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Finding the Third Proportional to 52,560 and 79,384

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Solution

The third proportional to 52,560 and 79,384 is: 119,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,560 : 79,384 = 79,384 : x
  2. Step 2: Convert to fraction form
    52,560/79,384 = 79,384/x
  3. Step 3: Cross multiply
    52,560x = 79,384 × 79,384
  4. Step 4: Simplify right side
    52,560x = 6,301,819,456
  5. Step 5: Solve for x
    x = 6,301,819,456/52,560
  6. Step 6: Final answer
    x = 119,897.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.